Question

A model rocket is launched from a roof into a large field. The path the rocket can be modeled by the equation y=-0.8x^2 + 12x + 25.8 where x is the horizontal distance in meters, from the starting point on the roof and y is the height in meters, of the rocket above the ground. How far horizontally from its starting point will the rocket land? Round your answer to the nearest hundredth

25.80
37.00
17.24
16.91

Answer 1

when the height (y) is zero , the rocket has landed

set y equal to zero , and solve with the quadratic formula

Answer 2

find the roots of the quadratic where y, the height, is zero
25.8 is initial height
something like 16.9 and -1.91
the -1.91 was before the launch so the answer is 16.9

Answer 3

Thank you so much ya'll are life savers